Back to list of Stocks    See Also: Seasonal Analysis of ANLYGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of ANLY (Analysts International Corporat)


ANLY (Analysts International Corporat) appears to have interesting cyclic behaviour every 195 weeks (3.883*sine), 177 weeks (2.563*sine), and 150 weeks (2.2887*cosine).

ANLY (Analysts International Corporat) has an average price of 20.14 (topmost row, frequency = 0).



Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 7/21/1976 to 10/28/2013 for ANLY (Analysts International Corporat), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
020.14182   0 
1-26.0457 -12.22978 (1*2π)/19451,945 weeks
211.08809 14.04724 (2*2π)/1945973 weeks
3-2.62648 -13.31181 (3*2π)/1945648 weeks
4-3.91522 10.75693 (4*2π)/1945486 weeks
58.38454 -6.59962 (5*2π)/1945389 weeks
6-7.19218 .80005 (6*2π)/1945324 weeks
74.63915 1.6975 (7*2π)/1945278 weeks
8-3.38615 -3.51015 (8*2π)/1945243 weeks
92.22731 3.52668 (9*2π)/1945216 weeks
10-.77727 -3.88302 (10*2π)/1945195 weeks
11-1.02614 2.56304 (11*2π)/1945177 weeks
121.93808 -.46321 (12*2π)/1945162 weeks
13-2.28871 -.77909 (13*2π)/1945150 weeks
142.07991 1.08053 (14*2π)/1945139 weeks
15-1.56713 -2.1717 (15*2π)/1945130 weeks
16.59722 2.48295 (16*2π)/1945122 weeks
17.98827 -2.22462 (17*2π)/1945114 weeks
18-1.73468 1.80179 (18*2π)/1945108 weeks
191.67736 -.43518 (19*2π)/1945102 weeks
20-.77027 -1.14049 (20*2π)/194597 weeks
21.31404 1.37148 (21*2π)/194593 weeks
22.62755 -1.11159 (22*2π)/194588 weeks
23-1.10888 .49789 (23*2π)/194585 weeks
24.84908 -.53954 (24*2π)/194581 weeks
25-.7932 -.10247 (25*2π)/194578 weeks
26.89922 .58288 (26*2π)/194575 weeks
27-.07604 -.6497 (27*2π)/194572 weeks
28-.37132 .3357 (28*2π)/194569 weeks
29.31613 -.20573 (29*2π)/194567 weeks
30-.00179 -.21547 (30*2π)/194565 weeks
31-.11429 -.52297 (31*2π)/194563 weeks
32-.19873 .39173 (32*2π)/194561 weeks
33.25559 -.10617 (33*2π)/194559 weeks
34-.28002 -.10879 (34*2π)/194557 weeks
35.20271 .08802 (35*2π)/194556 weeks
36.15917 .0332 (36*2π)/194554 weeks
37-.10029 -.35531 (37*2π)/194553 weeks
38-.24064 .23108 (38*2π)/194551 weeks
39.24492 .19853 (39*2π)/194550 weeks
40-.16818 -.58762 (40*2π)/194549 weeks
41.06903 .64685 (41*2π)/194547 weeks
42.41403 -.46569 (42*2π)/194546 weeks
43-.23404 -.02176 (43*2π)/194545 weeks
44.11281 .38931 (44*2π)/194544 weeks
45.09584 -.71332 (45*2π)/194543 weeks
46-.05448 .30403 (46*2π)/194542 weeks
47.03311 -.33192 (47*2π)/194541 weeks
48-.13157 .18843 (48*2π)/194541 weeks
49.12101 -.1054 (49*2π)/194540 weeks
50-.09137 -.23405 (50*2π)/194539 weeks
51.08582 .00968 (51*2π)/194538 weeks
52-.12471 -.06398 (52*2π)/194537 weeks
53-.04078 .03693 (53*2π)/194537 weeks
54.09625 .16014 (54*2π)/194536 weeks
55.16082 -.10188 (55*2π)/194535 weeks
56-.36593 -.2042 (56*2π)/194535 weeks
57.47166 .45218 (57*2π)/194534 weeks
58-.39358 -.60119 (58*2π)/194534 weeks
59.2804 .58208 (59*2π)/194533 weeks
60.04603 -.72609 (60*2π)/194532 weeks
61-.31759 .40825 (61*2π)/194532 weeks
62.45923 -.00175 (62*2π)/194531 weeks
63-.28115 -.26719 (63*2π)/194531 weeks
64.11406 .18491 (64*2π)/194530 weeks
65.08105 -.16053 (65*2π)/194530 weeks
66-.04112 -.06699 (66*2π)/194529 weeks
67-.244 -.02277 (67*2π)/194529 weeks
68.51754 .15371 (68*2π)/194529 weeks
69-.4107 -.57871 (69*2π)/194528 weeks
70.20009 .60518 (70*2π)/194528 weeks
71.0315 -.68769 (71*2π)/194527 weeks
72-.28951 .53936 (72*2π)/194527 weeks
73.48407 -.25478 (73*2π)/194527 weeks
74-.40505 -.22489 (74*2π)/194526 weeks
75.13682 .23965 (75*2π)/194526 weeks
76.03076 -.22729 (76*2π)/194526 weeks
77-.05076 -.01413 (77*2π)/194525 weeks
78-.16395 .06237 (78*2π)/194525 weeks
79.22351 -.02626 (79*2π)/194525 weeks
80-.21998 -.13576 (80*2π)/194524 weeks
81.1097 .20455 (81*2π)/194524 weeks
82-.02267 -.20043 (82*2π)/194524 weeks
83.01228 .01506 (83*2π)/194523 weeks
84-.00166 -.04789 (84*2π)/194523 weeks
85-.07319 .01016 (85*2π)/194523 weeks
86.29457 -.00318 (86*2π)/194523 weeks
87-.31225 -.26337 (87*2π)/194522 weeks
88.28442 .35784 (88*2π)/194522 weeks
89-.22804 -.48429 (89*2π)/194522 weeks
90-.08968 .38684 (90*2π)/194522 weeks
91.36203 -.29202 (91*2π)/194521 weeks
92-.41076 .00365 (92*2π)/194521 weeks
93.18365 .1328 (93*2π)/194521 weeks
94-.02486 -.15138 (94*2π)/194521 weeks
95.02722 .06939 (95*2π)/194520 weeks
96.04072 -.2694 (96*2π)/194520 weeks
97-.20694 .23566 (97*2π)/194520 weeks
98.24769 -.12666 (98*2π)/194520 weeks
99-.26515 -.01509 (99*2π)/194520 weeks
100.21202 .1326 (100*2π)/194519 weeks
101-.05086 -.34123 (101*2π)/194519 weeks
102-.14069 .23154 (102*2π)/194519 weeks
103.19843 -.12725 (103*2π)/194519 weeks
104-.04552 -.05972 (104*2π)/194519 weeks
105-.01343 -.05274 (105*2π)/194519 weeks
106-.08973 .05387 (106*2π)/194518 weeks
107.11421 -.08216 (107*2π)/194518 weeks
108-.12548 .01695 (108*2π)/194518 weeks
109.14155 -.02656 (109*2π)/194518 weeks
110-.19743 -.06828 (110*2π)/194518 weeks
111.21513 .08805 (111*2π)/194518 weeks
112-.21304 -.25846 (112*2π)/194517 weeks
113.06331 .31367 (113*2π)/194517 weeks
114.11235 -.3241 (114*2π)/194517 weeks
115-.23629 .12626 (115*2π)/194517 weeks
116.19358 .04525 (116*2π)/194517 weeks
117-.03546 -.25208 (117*2π)/194517 weeks
118-.072 .12115 (118*2π)/194516 weeks
119.0216 -.14529 (119*2π)/194516 weeks
120-.01235 .10455 (120*2π)/194516 weeks
121-.00952 -.09284 (121*2π)/194516 weeks
122-.10204 -.05045 (122*2π)/194516 weeks
123.08312 .16653 (123*2π)/194516 weeks
124.05536 -.27016 (124*2π)/194516 weeks
125-.24298 .15518 (125*2π)/194516 weeks
126.27738 -.00461 (126*2π)/194515 weeks
127-.25332 -.2666 (127*2π)/194515 weeks
128.07053 .35732 (128*2π)/194515 weeks
129.11918 -.35033 (129*2π)/194515 weeks
130-.32891 .21168 (130*2π)/194515 weeks
131.44125 .02781 (131*2π)/194515 weeks
132-.43606 -.24246 (132*2π)/194515 weeks
133.27817 .21277 (133*2π)/194515 weeks
134-.22947 -.31628 (134*2π)/194515 weeks
135.11792 .37532 (135*2π)/194514 weeks
136.05024 -.34168 (136*2π)/194514 weeks
137-.22931 .16579 (137*2π)/194514 weeks
138.25487 .0006 (138*2π)/194514 weeks
139-.19875 -.25353 (139*2π)/194514 weeks
140.04669 .33797 (140*2π)/194514 weeks
141.15861 -.27088 (141*2π)/194514 weeks
142-.3208 .07156 (142*2π)/194514 weeks
143.23053 .03689 (143*2π)/194514 weeks
144-.06778 -.14397 (144*2π)/194514 weeks
145.02002 .08263 (145*2π)/194513 weeks
146-.05336 -.09206 (146*2π)/194513 weeks
147.00636 .1519 (147*2π)/194513 weeks
148.03452 -.26202 (148*2π)/194513 weeks
149-.14507 .23317 (149*2π)/194513 weeks
150.30165 -.14777 (150*2π)/194513 weeks
151-.38544 -.11837 (151*2π)/194513 weeks
152.1385 .28787 (152*2π)/194513 weeks
153.0969 -.33007 (153*2π)/194513 weeks
154-.26352 .14598 (154*2π)/194513 weeks
155.25529 .0391 (155*2π)/194513 weeks
156-.10246 -.16358 (156*2π)/194512 weeks
157-.1418 .16269 (157*2π)/194512 weeks
158.23301 -.09235 (158*2π)/194512 weeks
159-.26028 -.10316 (159*2π)/194512 weeks
160.14253 .24116 (160*2π)/194512 weeks
161.01755 -.32229 (161*2π)/194512 weeks
162-.25121 .27367 (162*2π)/194512 weeks
163.30868 -.12401 (163*2π)/194512 weeks
164-.29808 .00317 (164*2π)/194512 weeks
165.25088 .11792 (165*2π)/194512 weeks
166-.12056 -.21828 (166*2π)/194512 weeks
167-.057 .25037 (167*2π)/194512 weeks
168.18102 -.1328 (168*2π)/194512 weeks
169-.14794 -.0815 (169*2π)/194512 weeks
170.07089 .08119 (170*2π)/194511 weeks
171-.03259 -.06018 (171*2π)/194511 weeks
172-.02103 .05863 (172*2π)/194511 weeks
173.02258 -.04666 (173*2π)/194511 weeks
174.08135 -.01919 (174*2π)/194511 weeks
175-.15295 -.05387 (175*2π)/194511 weeks
176.10239 .10297 (176*2π)/194511 weeks
177-.03239 -.11779 (177*2π)/194511 weeks
178-.06581 .10013 (178*2π)/194511 weeks
179.14418 -.13116 (179*2π)/194511 weeks
180-.20266 .08177 (180*2π)/194511 weeks
181.18303 -.0034 (181*2π)/194511 weeks
182-.17777 -.07546 (182*2π)/194511 weeks
183.14264 .11834 (183*2π)/194511 weeks
184-.15713 -.15484 (184*2π)/194511 weeks
185.15831 .22986 (185*2π)/194511 weeks
186-.03499 -.2823 (186*2π)/194510 weeks
187-.14831 .25636 (187*2π)/194510 weeks
188.32202 -.19004 (188*2π)/194510 weeks
189-.38104 -.03466 (189*2π)/194510 weeks
190.33796 .19105 (190*2π)/194510 weeks
191-.20488 -.27254 (191*2π)/194510 weeks
192.05726 .26565 (192*2π)/194510 weeks
193.0721 -.25954 (193*2π)/194510 weeks
194-.13033 .17773 (194*2π)/194510 weeks
195.1279 -.12893 (195*2π)/194510 weeks
196-.12632 .01987 (196*2π)/194510 weeks
197.06754 .05386 (197*2π)/194510 weeks
198-.0413 -.1415 (198*2π)/194510 weeks
199-.00847 .16596 (199*2π)/194510 weeks
200.06284 -.20735 (200*2π)/194510 weeks
201-.15013 .20422 (201*2π)/194510 weeks
202.20051 -.14767 (202*2π)/194510 weeks
203-.27586 -.02178 (203*2π)/194510 weeks
204.22345 .2093 (204*2π)/194510 weeks
205-.02925 -.34067 (205*2π)/19459 weeks
206-.13156 .28379 (206*2π)/19459 weeks
207.19178 -.18474 (207*2π)/19459 weeks
208-.23115 .00977 (208*2π)/19459 weeks
209.20369 .14087 (209*2π)/19459 weeks
210-.10023 -.18665 (210*2π)/19459 weeks
211.00729 .19388 (211*2π)/19459 weeks
212.05127 -.17869 (212*2π)/19459 weeks
213-.08376 .0879 (213*2π)/19459 weeks
214.11261 -.05301 (214*2π)/19459 weeks
215-.089 -.04674 (215*2π)/19459 weeks
216.00575 .07785 (216*2π)/19459 weeks
217.03394 -.03945 (217*2π)/19459 weeks
218-.08206 -.00942 (218*2π)/19459 weeks
219.08422 -.0003 (219*2π)/19459 weeks
220-.06105 -.0441 (220*2π)/19459 weeks
221.05706 .12733 (221*2π)/19459 weeks
222.0399 -.22138 (222*2π)/19459 weeks
223-.22736 .13412 (223*2π)/19459 weeks
224.29163 .01808 (224*2π)/19459 weeks
225-.15227 -.1802 (225*2π)/19459 weeks
226-.00405 .23828 (226*2π)/19459 weeks
227.14231 -.20689 (227*2π)/19459 weeks
228-.24333 .0526 (228*2π)/19459 weeks
229.21425 .04934 (229*2π)/19458 weeks
230-.1017 -.15861 (230*2π)/19458 weeks
231-.01667 .19939 (231*2π)/19458 weeks
232.11689 -.18702 (232*2π)/19458 weeks
233-.22841 .07816 (233*2π)/19458 weeks
234.20593 .05592 (234*2π)/19458 weeks
235-.07076 -.19941 (235*2π)/19458 weeks
236-.0305 .23571 (236*2π)/19458 weeks
237.12267 -.15369 (237*2π)/19458 weeks
238-.1995 -.00842 (238*2π)/19458 weeks
239.16456 .1236 (239*2π)/19458 weeks
240.02185 -.20688 (240*2π)/19458 weeks
241-.09244 .15932 (241*2π)/19458 weeks
242.09388 -.05875 (242*2π)/19458 weeks
243-.08279 -.07833 (243*2π)/19458 weeks
244.02458 .07057 (244*2π)/19458 weeks
245.01006 -.06061 (245*2π)/19458 weeks
246.00828 .04668 (246*2π)/19458 weeks
247-.01033 -.03827 (247*2π)/19458 weeks
248-.03899 .0092 (248*2π)/19458 weeks
249.09165 -.01883 (249*2π)/19458 weeks
250-.07041 -.0826 (250*2π)/19458 weeks
251.00203 .11693 (251*2π)/19458 weeks
252.05696 -.07679 (252*2π)/19458 weeks
253-.14366 -.01921 (253*2π)/19458 weeks
254.16427 .10811 (254*2π)/19458 weeks
255-.05034 -.25058 (255*2π)/19458 weeks
256-.06626 .21922 (256*2π)/19458 weeks
257.17874 -.14226 (257*2π)/19458 weeks
258-.259 -.01669 (258*2π)/19458 weeks
259.16957 .13461 (259*2π)/19458 weeks
260-.07121 -.17695 (260*2π)/19457 weeks
261-.0391 .18099 (261*2π)/19457 weeks
262.17855 -.15079 (262*2π)/19457 weeks
263-.24717 .00414 (263*2π)/19457 weeks
264.23238 .05208 (264*2π)/19457 weeks
265-.23039 -.10133 (265*2π)/19457 weeks
266.19208 .14617 (266*2π)/19457 weeks
267-.03594 -.25222 (267*2π)/19457 weeks
268-.1376 .19529 (268*2π)/19457 weeks
269.20437 -.11414 (269*2π)/19457 weeks
270-.19295 -.00657 (270*2π)/19457 weeks
271.10916 .0544 (271*2π)/19457 weeks
272-.04765 -.13239 (272*2π)/19457 weeks
273-.02258 .12248 (273*2π)/19457 weeks
274.04682 -.09084 (274*2π)/19457 weeks
275-.03657 .04201 (275*2π)/19457 weeks
276.00776 -.00369 (276*2π)/19457 weeks
277.03272 -.05109 (277*2π)/19457 weeks
278-.03464 .04444 (278*2π)/19457 weeks
279-.0111 -.04272 (279*2π)/19457 weeks
280.05584 -.01172 (280*2π)/19457 weeks
281-.10016 -.00417 (281*2π)/19457 weeks
282.0938 .00997 (282*2π)/19457 weeks
283-.0373 -.06138 (283*2π)/19457 weeks
284.00198 .04393 (284*2π)/19457 weeks
285.0079 -.0815 (285*2π)/19457 weeks
286-.06052 .07763 (286*2π)/19457 weeks
287.09345 -.08655 (287*2π)/19457 weeks
288-.1223 .02831 (288*2π)/19457 weeks
289.12949 .01176 (289*2π)/19457 weeks
290-.13405 -.13544 (290*2π)/19457 weeks
291.06643 .1875 (291*2π)/19457 weeks
292.01992 -.22536 (292*2π)/19457 weeks
293-.09556 .15114 (293*2π)/19457 weeks
294.10039 -.04911 (294*2π)/19457 weeks
295-.10729 -.0367 (295*2π)/19457 weeks
296.05979 .05269 (296*2π)/19457 weeks
297-.03709 -.08969 (297*2π)/19457 weeks
298.00675 .06908 (298*2π)/19457 weeks
299.0302 -.07078 (299*2π)/19457 weeks
300-.08281 .02822 (300*2π)/19456 weeks
301.07638 -.0158 (301*2π)/19456 weeks
302-.09572 -.0119 (302*2π)/19456 weeks
303.07181 .02834 (303*2π)/19456 weeks
304-.02436 -.01821 (304*2π)/19456 weeks
305-.02711 -.01111 (305*2π)/19456 weeks
306.01212 .00583 (306*2π)/19456 weeks
307.03179 -.04998 (307*2π)/19456 weeks
308-.06278 -.00437 (308*2π)/19456 weeks
309.02317 .01753 (309*2π)/19456 weeks
310-.02921 -.06792 (310*2π)/19456 weeks
311-.03053 .10879 (311*2π)/19456 weeks
312.09135 -.06288 (312*2π)/19456 weeks
313-.07222 -.01502 (313*2π)/19456 weeks
314-.00035 -.01392 (314*2π)/19456 weeks
315-.0378 .02695 (315*2π)/19456 weeks
316.08658 -.03916 (316*2π)/19456 weeks
317-.0882 -.0075 (317*2π)/19456 weeks
318.01829 .03191 (318*2π)/19456 weeks
319.03469 -.02979 (319*2π)/19456 weeks
320-.08288 .01316 (320*2π)/19456 weeks
321.0936 .03761 (321*2π)/19456 weeks
322-.08963 -.09408 (322*2π)/19456 weeks
323.05553 .05254 (323*2π)/19456 weeks
324-.03776 -.05581 (324*2π)/19456 weeks
325-.01729 .01396 (325*2π)/19456 weeks
326.03896 .01596 (326*2π)/19456 weeks
327-.06059 -.06345 (327*2π)/19456 weeks
328.03522 .05336 (328*2π)/19456 weeks
329-.02216 -.05036 (329*2π)/19456 weeks
330-.02053 .01306 (330*2π)/19456 weeks
331-.0118 .01144 (331*2π)/19456 weeks
332.00676 -.00434 (332*2π)/19456 weeks
333.02406 -.02576 (333*2π)/19456 weeks
334-.0405 -.01654 (334*2π)/19456 weeks
335-.03371 .02361 (335*2π)/19456 weeks
336.08602 -.01569 (336*2π)/19456 weeks
337-.14111 -.00958 (337*2π)/19456 weeks
338.11978 .08519 (338*2π)/19456 weeks
339-.01751 -.16009 (339*2π)/19456 weeks
340-.13721 .10921 (340*2π)/19456 weeks
341.18871 .00445 (341*2π)/19456 weeks
342-.1281 -.10306 (342*2π)/19456 weeks
343.01993 .0886 (343*2π)/19456 weeks
344.01239 -.0848 (344*2π)/19456 weeks
345-.10196 .05558 (345*2π)/19456 weeks
346.15707 .00447 (346*2π)/19456 weeks
347-.16492 -.05685 (347*2π)/19456 weeks
348.12135 .12723 (348*2π)/19456 weeks
349-.05058 -.17261 (349*2π)/19456 weeks
350-.04188 .14357 (350*2π)/19456 weeks
351.11702 -.12837 (351*2π)/19456 weeks
352-.1531 .04259 (352*2π)/19456 weeks
353.1291 .04826 (353*2π)/19456 weeks
354-.12121 -.1083 (354*2π)/19455 weeks
355.04819 .13628 (355*2π)/19455 weeks
356.00935 -.1412 (356*2π)/19455 weeks
357-.06704 .11243 (357*2π)/19455 weeks
358.06802 -.04666 (358*2π)/19455 weeks
359-.04636 -.0075 (359*2π)/19455 weeks
360.03692 .02786 (360*2π)/19455 weeks
361-.05289 -.07311 (361*2π)/19455 weeks
362.02879 .09104 (362*2π)/19455 weeks
363.01936 -.0921 (363*2π)/19455 weeks
364-.0775 .08588 (364*2π)/19455 weeks
365.11938 -.03493 (365*2π)/19455 weeks
366-.13012 -.09038 (366*2π)/19455 weeks